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Printable math worksheet for graphing linear functions.

Graphing linear functions worksheet with nine problems, each requiring a function table and graph on a coordinate plane.

Graphing linear functions worksheet with nine problems, each requiring a function table and graph on a coordinate plane.

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Show Answer Key & Explanations Step-by-step solution for: Function Worksheets | Linear function, Graphing linear equations ...
1) f(x) = 2x + 1
- For x = -3: f(-3) = 2(-3) + 1 = -6 + 1 = -5
- For x = -2: f(-2) = 2(-2) + 1 = -4 + 1 = -3
- For x = -1: f(-1) = 2(-1) + 1 = -2 + 1 = -1
- For x = 0: f(0) = 2(0) + 1 = 0 + 1 = 1
- For x = 1: f(1) = 2(1) + 1 = 2 + 1 = 3
- For x = 2: f(2) = 2(2) + 1 = 4 + 1 = 5
- Graph: Plot points (-3, -5), (-2, -3), (-1, -1), (0, 1), (1, 3), (2, 5) and draw a straight line.

2) f(x) = x + 5
- For x = -6: f(-6) = -6 + 5 = -1
- For x = -5: f(-5) = -5 + 5 = 0
- For x = -4: f(-4) = -4 + 5 = 1
- For x = -3: f(-3) = -3 + 5 = 2
- For x = -2: f(-2) = -2 + 5 = 3
- For x = -1: f(-1) = -1 + 5 = 4
- For x = 0: f(0) = 0 + 5 = 5
- For x = 1: f(1) = 1 + 5 = 6
- For x = 2: f(2) = 2 + 5 = 7
- For x = 3: f(3) = 3 + 5 = 8
- Graph: Plot points (-6, -1), (-5, 0), (-4, 1), (-3, 2), (-2, 3), (-1, 4), (0, 5), (1, 6), (2, 7), (3, 8) and draw a straight line.

3) f(x) = 4 - 8x
- For x = -3: f(-3) = 4 - 8(-3) = 4 + 24 = 28
- For x = -2: f(-2) = 4 - 8(-2) = 4 + 16 = 20
- For x = -1: f(-1) = 4 - 8(-1) = 4 + 8 = 12
- For x = 0: f(0) = 4 - 8(0) = 4
- For x = 1: f(1) = 4 - 8(1) = 4 - 8 = -4
- For x = 2: f(2) = 4 - 8(2) = 4 - 16 = -12
- Graph: Plot points (-3, 28), (-2, 20), (-1, 12), (0, 4), (1, -4), (2, -12) and draw a straight line.

4) f(x) = 2x
- For x = -3: f(-3) = 2(-3) = -6
- For x = -2: f(-2) = 2(-2) = -4
- For x = -1: f(-1) = 2(-1) = -2
- For x = 0: f(0) = 2(0) = 0
- For x = 1: f(1) = 2(1) = 2
- For x = 2: f(2) = 2(2) = 4
- Graph: Plot points (-3, -6), (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4) and draw a straight line.

5) f(x) = x + 0
- For x = 4: f(4) = 4 + 0 = 4
- For x = 5: f(5) = 5 + 0 = 5
- For x = 6: f(6) = 6 + 0 = 6
- For x = 7: f(7) = 7 + 0 = 7
- For x = 8: f(8) = 8 + 0 = 8
- Graph: Plot points (4, 4), (5, 5), (6, 6), (7, 7), (8, 8) and draw a straight line.

6) f(x) = -7x + 4
- For x = -4: f(-4) = -7(-4) + 4 = 28 + 4 = 32
- For x = -2: f(-2) = -7(-2) + 4 = 14 + 4 = 18
- For x = -1: f(-1) = -7(-1) + 4 = 7 + 4 = 11
- For x = 0: f(0) = -7(0) + 4 = 0 + 4 = 4
- For x = 1: f(1) = -7(1) + 4 = -7 + 4 = -3
- For x = 2: f(2) = -7(2) + 4 = -14 + 4 = -10
- For x = 3: f(3) = -7(3) + 4 = -21 + 4 = -17
- Graph: Plot points (-4, 32), (-2, 18), (-1, 11), (0, 4), (1, -3), (2, -10), (3, -17) and draw a straight line.

7) f(x) = -x
- For x = -3: f(-3) = -(-3) = 3
- For x = -2: f(-2) = -(-2) = 2
- For x = -1: f(-1) = -(-1) = 1
- For x = 0: f(0) = -(0) = 0
- For x = 1: f(1) = -(1) = -1
- Graph: Plot points (-3, 3), (-2, 2), (-1, 1), (0, 0), (1, -1) and draw a straight line.

8) f(x) = -x + 2
- For x = -5: f(-5) = -(-5) + 2 = 5 + 2 = 7
- For x = -3: f(-3) = -(-3) + 2 = 3 + 2 = 5
- For x = -1: f(-1) = -(-1) + 2 = 1 + 2 = 3
- For x = 0: f(0) = -(0) + 2 = 0 + 2 = 2
- For x = 1: f(1) = -(1) + 2 = -1 + 2 = 1
- For x = 2: f(2) = -(2) + 2 = -2 + 2 = 0
- Graph: Plot points (-5, 7), (-3, 5), (-1, 3), (0, 2), (1, 1), (2, 0) and draw a straight line.

9) f(x) = -x - 2
- For x = -3: f(-3) = -(-3) - 2 = 3 - 2 = 1
- For x = -1: f(-1) = -(-1) - 2 = 1 - 2 = -1
- For x = 1: f(1) = -(1) - 2 = -1 - 2 = -3
- For x = 3: f(3) = -(3) - 2 = -3 - 2 = -5
- For x = 5: f(5) = -(5) - 2 = -5 - 2 = -7
- Graph: Plot points (-3, 1), (-1, -1), (1, -3), (3, -5), (5, -7) and draw a straight line.
Parent Tip: Review the logic above to help your child master the concept of function algebra 1 worksheet pdf.
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